1. The problem statement, all variables and given/known data The spoke of a wire wheel is 9.5 cm long, 3.5 mm in diameter, and under tension of 2100 N. The wire is made of steel of density 7860 kg/m3. When struck with a metal tool at its center, the spoke rings at its fundamental frequency. What is that frequency? 2. Relevant equations λn.fn=v and velocity:v=sqrt(T/μ) , lemda λn=2L/n and L= length of string fn=n/2L . sqrt(T/μ) fundamental≡ the first mode ⇒ n=1 μ is the linear mass and must be in kg/m so we must multiply our density by the area which is π.r^2 3. The attempt at a solution μ=7860*π*(3.5*10^-3)^2=0.302 kg/m f=1/(2*9.5*10^-2) . sqrt(2100/0.302) f= 438.8 Hz but the answer is incorrect why??